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In: Statistics and Probability

It might be predicted that consumer buying behavior would vary with the location of products in...

It might be predicted that consumer buying behavior would vary with the location of products in a store. Therefore, a team of market researchers looked at the sales per day for a known and unknown brand of candy bars. Additionally, the researchers placed the candy bars in the usual location and next to the cash register in different stores. What can the market researchers conclude with α = 0.05?

known brand unknown brand
usual register usual register
16
24
19
17
26
30
18
25
15
16
20
31
27
19
11
6
9
13
14
7
11
19
18
16
21
30
17
19



a) What is the appropriate test statistic?
(na ,one-way ANOVA, within-subjects ANOVA ,two-way ANOVA  )

b) Compute the appropriate test statistic(s) to make a decision about H0.
Location: critical value =   ; test statistic =   


Brand: critical value =   ; test statistic =   


Interaction: critical value =   ; test statistic =   


c) Compute the corresponding effect size(s) and indicate magnitude(s).
Location: η2 =   ;   ( na, trivial effect ,small effect, medium effect ,large effect)   
Brand: η2 =   ;    ( na, trivial effect ,small effect, medium effect ,large effect)
Interaction: η2 =   ;  ( na, trivial effect ,small effect, medium effect ,large effect)

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